* Shelby Aaberg , Nebraska Master Teaching Fellow, S cottsbluff - PDF document

10/27/2014 * Shelby Aaberg , Nebraska Master Teaching Fellow, S cottsbluff High S chool Jason Vitosh , Nebraska Master Teaching Fellow, Falls City High S chool * Mathematical models describe structure. * S tatistical models describe variability around the structure. * 1

10/27/2014 ROLLER% DERBY TEAM% A TEAM% B Roller Derby Rules 1 Object of the Game : Be the first team to remove all pennies 2 from the board. 3 1. Place all 12 pennies somewhere on your team’s side of the board. 4 5 2. Teams take turns rolling the dice and totaling the numbers shown. 6 3. If either team has a penny in a row matching the total, 7 they take one penny off of that row. 8 4. The team to take their last penny off first, wins. 9 10 Play the best two out of three games. 11 12 * * Mathematical Questions * S tatistical Questions “ What is the probability of “ What is a winning rolling an 8 with a pair of strategy in a game of number cubes? ” Roller Derby? ” “ What is the expected value “ Explain if a winning VS . when rolling a pair of strategy guarantees number cubes? ” success? ” * 2

10/27/2014 * * S ame LS RL slope * S ame LS RL y-intercept * S ame r value ame r 2 value * S * WILDL Y DIFFERENT S CATTERPLOTS * HTTP:/ / MATHLETICIS M.NET/ ? P=160 3

10/27/2014 * S tudents explore permutation counting methods. * S tudents consider probability and randomness. Counting Sixlets Guided Questions Name: 1. List the color order of the candies in each of your strips. 2. What do you wonder about the colors? 3. What can you do numerically with the colors? 4. What patterns or groupings do you see? 5. How likely is it that a pattern or grouping will occur? 6. How many different candy strips are possible? 7. What is the probability of each pattern or grouping? * 8. What is more likely? 9. Which one is more surprising to find? * Candidate 1: ACT Math S ubscore of 33 * Candidate 2: S AT Math S ubscore of 550 * Y ou are the scholarship committee chairperson. Who should get the scholarship? * HTTP:/ / MATHLETICIS M.NET/ ? P=1065 4

10/27/2014 * Dot Plots * S tem & Leaf Plots * Box & Whisker Plots * Histograms * * Mathematical Practices * Make sense of problems and persevere in solving them * Reason abstractly and quantitatively * Construct viable arguments and critique the reasoning of others High School Statistics Categories * Model with mathematics 1) Interpreting Data (HS S .ID) * Use appropriate tools 2) Inferences & Conclusions (HS S .IC) strategically 3) Conditional Probability (HS S .CP) * Attend to precision 4) Making Decisions (HS S .MD) * Look for and make use of structure * Look for and express regularity in repeated reasoning 5

10/27/2014 Books- Problems- * Proofiness , Charles S The Birthday Problem eife The Monty Hall Problem * The Lady Tast ing Tea , David S alsburg Lottery Problems * Damned Lies and S t at ist ics , Joel Best Y our Own Raffle * How t o Lie wit h S Free Throw S tats & Prob t at ist ics , Darrell Huff * * Naked S t at ist ics , Charles Wheelan * NCTM Developing Essent ial Underst anding of S t at ist ics-Grade 9-12 * NCTM Implement ing t he Common Core Websites- S t at e S t andards t hrough Mat hemat ical http://mathleticism.net Problem S olving-High S chool * NCTM Developing Essent ial http://apstatsmonkey.com Underst anding of S t at ist ics-Grade 6-8 http://mathcoachblog.com/ * NCTM Bridging t he Gap Bet ween CCS S www.geogebra.org and Teaching S t at ist ics * NCTM Teaching Mat hemat ics t hrough Problem S olving-Grades 6-12 * S helby Aaberg UNL MTF , S cottsbluff NE saaberg@ sbps.net * Jason Vitosh UNL MTF , Falls City NE j vitosh@ fallscityps.org * 6